Random Loops and T-algebras
Also appears in collection : Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
The stochastic quantization of the 1d non-linear sigma model (i.e. the natural Langevin dynamic on loop space) naturally leads to the study of an algebraic structure we call a T-algebra. We will discuss how they arise, a few of their properties, as well as a concrete example of their application.
